Cremona's table of elliptic curves

36960 = 2⁵ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	36960bs	Isogeny class
Conductor	36960	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	46093365964800 = 212 · 312 · 52 · 7 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-113905,14755103]	[a1,a2,a3,a4,a6]
Generators	[-289:4860:1]	Generators of the group modulo torsion
j	39902117402149696/11253263175	j-invariant
L	7.5675747622073	L(r)(E,1)/r!
Ω	0.62376820403825	Real period
R	1.0110025264214	Regulator
r	1	Rank of the group of rational points
S	0.99999999999993	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	36960bl4 73920ed1 110880v4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 36960bs4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-	+	-	2	-2	-4	4	-2	0	-2	6	-8	-8	-10	-12	-6	0	12	10	16	4	14	2

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Quadratic twists for elliptic curve 36960bs4

-4	8	-3
36960bl4	73920ed1	110880v4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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